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sider the relation R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} on the set {1, 2, 3, 4}. What is the transitive closure of R {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2), (1,3), (2,1), (3, 2), (3, 4), (4,3)} {(1,3), (2,1), (3, 2), (3, 4), (4,3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)} {(1, 2), (1, 4), (2, 3), (3,1), (4,2), (1,3), (2,1), (3, 2), (3, 4), (4, 3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)} {(1,3), (2,1), (3, 2), (3, 4), (4,3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)}

sider the relation R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} on the set {1, 2, 3, 4}. What is the transitive closure of R {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2), (1,3), (2,1), (3, 2), (3, 4), (4,3)} {(1,3), (2,1), (3, 2), (3, 4), (4,3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)} {(1, 2), (1, 4), (2, 3), (3,1), (4,2), (1,3), (2,1), (3, 2), (3, 4), (4, 3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)} {(1,3), (2,1), (3, 2), (3, 4), (4,3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)}

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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Consider the relation R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} on the set {1, 2, 3, 4}. What is the transitive closure of R? O {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2), (1,3), (2,1). (3, 2), (3, 4), (4,3)} O {(1.3), (2,1), (3, 2), (3, 4), (4,3), (1, 1), (2, 2). (2, 4), (3, 3), (4, 1), (4, 4)} O {(1, 2), (1, 4), (2, 3), (3,1), (4,2), (1,3), (2,1), (3, 2), (3, 4). (4, 3), (1, 1). (2, 2), (2, 4), (3. 3). (4, 1). (4, 4)} O {(1,3), (2,1). (3, 2), (3, 4), (4,3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)}
Transcribed Image Text:Consider the relation R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} on the set {1, 2, 3, 4}. What is the transitive closure of R? O {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2), (1,3), (2,1). (3, 2), (3, 4), (4,3)} O {(1.3), (2,1), (3, 2), (3, 4), (4,3), (1, 1), (2, 2). (2, 4), (3, 3), (4, 1), (4, 4)} O {(1, 2), (1, 4), (2, 3), (3,1), (4,2), (1,3), (2,1), (3, 2), (3, 4). (4, 3), (1, 1). (2, 2), (2, 4), (3. 3). (4, 1). (4, 4)} O {(1,3), (2,1). (3, 2), (3, 4), (4,3), (1, 1), (2, 2), (2, 4), (3, 3), (4, 1), (4, 4)}
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